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Finding the Third Proportional to 32,190 and 77,541

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Solution

The third proportional to 32,190 and 77,541 is: 186,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190 : 77,541 = 77,541 : x
  2. Step 2: Convert to fraction form
    32,190/77,541 = 77,541/x
  3. Step 3: Cross multiply
    32,190x = 77,541 × 77,541
  4. Step 4: Simplify right side
    32,190x = 6,012,606,681
  5. Step 5: Solve for x
    x = 6,012,606,681/32,190
  6. Step 6: Final answer
    x = 186,784.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.